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harkovskaia [24]
3 years ago
7

5) What is the result of subtracting (x2 + 3x)from the polynomial (-2x2 + 4x + 5)?​

Mathematics
2 answers:
Galina-37 [17]3 years ago
8 0

Answer:

- 3x² + x + 5

Step-by-step explanation:

- 2x² + 4x + 5 - (x² + 3x) ← distribute by - 1

= - 2x² + 4x + 5 - x² - 3x ← collect like terms

= - 3x² + x + 5

Alexus [3.1K]3 years ago
3 0

Hi

Golden rule to know by heart : you can only add or substract element of the same kind.

so X^2 with X^2 , X with X , numbers with numbers...

exemple : 2X^2 +3X^2 = 5X^2

but 5X^2 -3X remains that way as 5X^2 is a " X^2" and " 3X" is a " X" so I can't substract two elements of different kind.

Now you have to translate what is ask of you into a calculus.

so : you have

A ) ( 2x^2+4x +5) - ( x^2+3x)

Math is a sport of the mind. You will only progress and become stronger if you train.

So I let you have a shot. beware of signs rules. If you still have trouble, ask in comment section..

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Answer: 9 pieces of ribbon

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6 0
3 years ago
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Complete the description of the slope of the line that joins the points
Grace [21]

Answer:

The slope of the line that joins the points is negative.

i.e m = -6/5

Step-by-step explanation:

Taking two points from the graph to determine the slope

  • (-3, 4)
  • (2, -2)

Finding the slope between (-3, 4),(2, -2)

\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}'

\left(x_1,\:y_1\right)=\left(-3,\:4\right),\:\left(x_2,\:y_2\right)=\left(2,\:-2\right)

m=\frac{-2-4}{2-\left(-3\right)}

m=-\frac{6}{5}

Therefore, the slope of the line that joins the points is negative.

i.e m = -6/5

7 0
3 years ago
The EPA wants to know the daily level of pollutant discharge in the manufacturing district in Pittsburgh for February 2005. The
dangina [55]

Answer:

The 95% confidence interval for the true population mean of pollutant discharge is (26.7 tons, 33.7 tons).

Step-by-step explanation:

Let <em>X</em> represent the daily level of pollutant discharge in the manufacturing district in Pittsburgh.

The monitoring equipment reveals that for the 28 days of the February month

Mean daily discharge per factory, (\bar x) = 30.2 tons

Standard deviation daily discharge per factory, (<em>s</em>) = 9.1 tons

Compute the critical value of <em>t</em> for 95% level of confidence and (n - 1 =) 27 degrees of freedom as follows:

t_{0.05/2, 27}=2.052

*Use a t-table.

Compute the 95% confidence interval for the true population mean of pollutant discharge as follows:

CI=\bar x\pm t_{\alpha/2, (n-1)}\cdot\frac{s}{\sqrt{n}}

     =30.2\pm 2.052\times\frac{9.1}{\sqrt{28}}\\\\=30.2\pm 3.53\\\\=(26.67, 33.73)\\\\\approx (26.7, 33.7)

Thus, the 95% confidence interval for the true population mean of pollutant discharge is (26.7 tons, 33.7 tons).

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iogann1982 [59]
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because when u multiply both sides by -3, this cancels out the -1/3 on the left side leaving u with : x - 15 = -4 * -3.....x - 15 = 12.....and then u would add 15 to both sides....giving u : x = 12 + 15.....x = 27
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